AKo
60.75%
Wins 60.51%, ties 0.47%
QTs
39.25%
Wins 39.02%, ties 0.47%
AKo against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 60.512 | 0.472 | 39.016 | 60.748 |
| QTs | 39.016 | 0.472 | 60.512 | 39.252 |
Here an offsuit hand (AKo) meets a suited hand (QTs). Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
AKo is ahead, but QTs is far from dead: it takes 390 of every 1,000 deals outright. Of every 100 boards, about 0.47 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, AKo is number 12 and QTs is number 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 49,735,000 | 388,000 | 32,067,000 |
| QTs | 32,067,000 | 388,000 | 49,735,000 |
48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKo | 1.548 | 1.653 | 2.563 | 0.646 |
| QTs | 0.646 | 2.563 | 1.653 | 1.548 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and AKo is strongest on low rainbow flops (nine high or lower) (70.98%) and weakest on monotone flops (58.92%). AKo stays ahead on all five textures.
| Flop | Share of flops | AKo wins | Ties | QTs wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 58.881 | 0.113 | 41.006 | 58.938 |
| Rainbow, nine or lower | 7.770 | 70.479 | 0.994 | 28.527 | 70.976 |
| Two-tone | 46.667 | 59.027 | 0.302 | 40.671 | 59.178 |
| Monotone | 5.212 | 57.726 | 2.388 | 39.886 | 58.920 |
| Paired | 17.091 | 63.104 | 0.604 | 36.292 | 63.406 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Relative to a random opponent, AKo changes by -4.57 points (baseline 65.32%) and QTs by -20.22 points (baseline 59.47%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 60.748 | 65.320 | -4.572 | 0.93001 |
| AKo, rainbow, ten or higher | 58.938 | 65.320 | -6.382 | 0.90230 |
| AKo, rainbow, nine or lower | 70.976 | 65.320 | +5.656 | 1.08659 |
| AKo, two-tone | 59.178 | 65.320 | -6.142 | 0.90597 |
| AKo, monotone | 58.920 | 65.320 | -6.400 | 0.90202 |
| AKo, paired | 63.406 | 65.320 | -1.914 | 0.97070 |
| QTs, all flops | 39.252 | 59.468 | -20.216 | 0.66005 |
| QTs, rainbow, ten or higher | 41.062 | 59.468 | -18.406 | 0.69049 |
| QTs, rainbow, nine or lower | 29.024 | 59.468 | -30.444 | 0.48806 |
| QTs, two-tone | 40.822 | 59.468 | -18.646 | 0.68645 |
| QTs, monotone | 41.080 | 59.468 | -18.388 | 0.69079 |
| QTs, paired | 36.594 | 59.468 | -22.874 | 0.61536 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AKo has 61.44% equity, and with none in common it has 60.06%. AKo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | QTs wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.182 | 0.512 | 38.306 | 61.438 |
| No shared suit | 24 | 50.00 | 59.842 | 0.431 | 39.727 | 60.057 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AKo against QTs, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AKo gets $121.50 of it on average and QTs gets $78.50.
In 1,000 deals of exactly this matchup, expect about 605 won outright by AKo, about 390 won outright by QTs and about 5 split.
The same matchup from the other side
The reversed view, QTs against AKo, shows 39.25% for QTs and 60.75% for AKo. It is the same count, so it redirects here.
Keep exploring
Open the calculator with AsKh against QdTd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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